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Lyapunov fractal
Known as:
Lyapunov
, Markus-Lyapunov fractal
In mathematics, Lyapunov fractals (also known as Markus–Lyapunov fractals) are bifurcational fractals derived from an extension of the logistic map…
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Related topics
5 relations
Algorithm
Bifurcation theory
Fractal
List of chaotic maps
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Papers overview
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Highly Cited
2015
Highly Cited
2015
Adaptive Synchronization of Chemical Chaotic Reactors
S. Vaidyanathan
2015
Corpus ID: 54843938
Chaos theory hasa manifold variety of applications in science and engineering. This paper investigates the properties of a…
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Highly Cited
2015
Highly Cited
2015
Analysis, properties and control of an eight-term 3-D chaotic system with an exponential nonlinearity
S. Vaidyanathan
International journal of Modeling, identification…
2015
Corpus ID: 27519645
In this research work, an eight-term 3-D novel chaotic system with an exponential nonlinearity has been derived. The basic…
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Highly Cited
2011
Highly Cited
2011
Global Chaos Synchronization of Hyperchaotic Pang and Hyperchaotic Wang Systems via Adaptive Control
S. Vaidyanathan
2011
Corpus ID: 62379194
This paper investigates the global chaos synchronization of identical hyperchaotic Wang systems, identical hyperchaotic Pang…
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Highly Cited
2008
Highly Cited
2008
Chaos synchronization of different chaotic systems subjected to input nonlinearity
H. Yau
,
Jun‐Juh Yan
Applied Mathematics and Computation
2008
Corpus ID: 535942
Highly Cited
2008
Highly Cited
2008
Improvement of State Feedback Controller Design for Networked Control Systems
B. Tang
,
Guo-Ping Liu
,
W. Gui
IEEE Transactions on Circuits and Systems - II…
2008
Corpus ID: 1752526
A new method is proposed to improve the state feedback controller design for networked control systems (NCSs) taking both network…
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Highly Cited
2003
Highly Cited
2003
An adaptive feedback control of linearizable chaotic systems
M. Feki
2003
Corpus ID: 16596389
Highly Cited
2002
Highly Cited
2002
Adaptive synchronization design for chaotic systems via a scalar driving signal
Kuang-Yow Lian
,
Peter Liu
,
Tung-Sheng Chiang
,
Chian-Song Chiu
2002
Corpus ID: 13284743
Using a scalar driving signal, synchronization for a class of chaotic systems has been developed. For chaotic systems…
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Highly Cited
2001
Highly Cited
2001
Hybrid control using recurrent fuzzy neural network for linear induction motor servo drive
F. Lin
,
R. Wai
IEEE transactions on fuzzy systems
2001
Corpus ID: 33273211
A hybrid control system using a recurrent fuzzy neural network (RFNN) is proposed to control a linear induction motor (LIM) servo…
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Highly Cited
1999
Highly Cited
1999
Stability analysis of nonlinear multivariable Takagi-Sugeno fuzzy control systems
F. Cuesta
,
F. Gordillo
,
J. Aracil
,
A. Ollero
IEEE transactions on fuzzy systems
1999
Corpus ID: 10224811
Points out how the nonlinearities involved in multivariable Takagi-Sugeno (T-S) fuzzy control systems could originate complex…
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Highly Cited
1999
Highly Cited
1999
Stabilization of a nonlinear underactuated hovercraft
I. Fantoni
,
Rogelio Lozano
,
Frédéric Mazenc
,
K. Pettersen
Proceedings of the 38th IEEE Conference on…
1999
Corpus ID: 18047777
We consider the control of a hovercraft, having only two control inputs with three degrees of freedom. The model is obtained from…
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